Consider X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). What is the probability P(X=0)P(X=0)P(X=0)?
(1−p)n(1-p)^n(1−p)n
pnp^npn
1−pn1-p^n1−pn
n(1−p)n(1-p)n(1−p)